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Finding the Fourth Proportional to 1,700.80, 2,552.64 and 1,152.16

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Solution

The fourth proportional to 1,700.80, 2,552.64 and 1,152.16 is: 1,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.80 : 2,552.64 = 1,152.16 : x
  2. Step 2: Convert to fraction form
    1,700.80/2,552.64 = 1,152.16/x
  3. Step 3: Cross multiply
    1,700.80x = 2,552.64 × 1,152.16
  4. Step 4: Simplify right side
    1,700.80x = 2,941,049.70
  5. Step 5: Solve for x
    x = 2,941,049.70/1,700.80
  6. Step 6: Final answer
    x = 1,729.22

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